To determine the eighth term in the given pattern, let's analyze how the sequence develops from the initial number provided, which is [tex]\( 7 \)[/tex].
1. Start with the first term, which is [tex]\( 7 \)[/tex].
2. The pattern alternates between adding [tex]\( 5 \)[/tex] and subtracting [tex]\( 2 \)[/tex].
We will follow this pattern step by step:
- First term: [tex]\( 7 \)[/tex]
- Second term: Add 5 to the first term
[tex]\[
7 + 5 = 12
\][/tex]
- Third term: Subtract 2 from the second term
[tex]\[
12 - 2 = 10
\][/tex]
- Fourth term: Add 5 to the third term
[tex]\[
10 + 5 = 15
\][/tex]
- Fifth term: Subtract 2 from the fourth term
[tex]\[
15 - 2 = 13
\][/tex]
- Sixth term: Add 5 to the fifth term
[tex]\[
13 + 5 = 18
\][/tex]
- Seventh term: Subtract 2 from the sixth term
[tex]\[
18 - 2 = 16
\][/tex]
- Eighth term: Add 5 to the seventh term
[tex]\[
16 + 5 = 21
\][/tex]
Thus, the eighth term in the pattern is:
[tex]\[ 21 \][/tex]
Therefore, the eighth term in the pattern is [tex]\( 21 \)[/tex]. Please type [tex]\(\boxed{21}\)[/tex] in the box.
